New exact general solutions of Abel equation of the second kind

Applied Mathematics and Computation

Volumn 216, Issue 2, 2010, Pages 689-691

  Bougoffa, Lazhar ^a  

^a AL IMAM MOHAMMAD IBN SAUD ISLAMIC UNIVERSITY IMSIU   (Saudi Arabia)

Author keywords

Abel equation; Exact general solutions

Indexed keywords

ABEL EQUATION; EXACT SOLUTION; FUNCTIONAL RELATION; FUNCTIONAL TRANSFORMATION; GENERAL SOLUTIONS; NORMAL FORM; PARAMETRIC FORMS; VARIABLE COEFFICIENTS;

INTEGRAL EQUATIONS;

EID: 77649232973     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2010.01.114     Document Type: Article

References (8)

1. Adam A.A., and Mahomed F.M. Non-local symmetries of first-order equations. IMA J. Appl. Math. 60 (1998) 187-198
2. Adam A.A., Mahomed F.M., and Kara A.H. New solutions of the Abel equation. Lie Groups Appl. 1 (1994) 1-10
3. Cheb-Terrab E.S., and Roche A.D. Abel ODEs: equivalence and integrable classes. Comput. Phys. Commun. 130 (2000) 204-231
4. Cheb-Terrab E.S., and Roche A.D. An Abel ordinary differential equation class generalizing known integrable classes. Eur. J. Appl. Math. 14 (2003) 217-229
5. Davis H.T. Introduction to Nonlinear Differential and Integral Equations (1962), Dover Publ., New York
6. Panayotounkos D.E. Exact analytic solutions of unsolvable classes of first and second order nonlinear ODEs (Part I: Abel's equations). Appl. Math. Lett. 18 (2005) 155-162
7. Panayotounkos D.E., and Kravvaritis D.C. Exact analytic of the Abel, Emden-Fowler and generalized Emden-Fowler nonlinear ODEs. Nonlinear Anal.: Real World Appl. 7 (2006) 634-650
8. Polyanin A.D., and Zaitsev V.F. Handbook of Exact Solutions for Ordinary Differential Equations (1999), CRC Press, New York